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Finding the Fourth Proportional to 141.47, 212.28 and 50.19

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Solution

The fourth proportional to 141.47, 212.28 and 50.19 is: 75.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.47 : 212.28 = 50.19 : x
  2. Step 2: Convert to fraction form
    141.47/212.28 = 50.19/x
  3. Step 3: Cross multiply
    141.47x = 212.28 × 50.19
  4. Step 4: Simplify right side
    141.47x = 10,654.33
  5. Step 5: Solve for x
    x = 10,654.33/141.47
  6. Step 6: Final answer
    x = 75.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.